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<div class="title">ei_fftw_impl.h</div>  </div>
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<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra. </span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2009 Mark Borgerding mark a borgerding net</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160; </div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> { </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160; </div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">namespace </span>internal {</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160; </div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;  <span class="comment">// FFTW uses non-const arguments</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;  <span class="comment">// so we must use ugly const_cast calls for all the args it uses</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;  <span class="comment">//</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;  <span class="comment">// This should be safe as long as </span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;  <span class="comment">// 1. we use FFTW_ESTIMATE for all our planning</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;  <span class="comment">//       see the FFTW docs section 4.3.2 &quot;Planner Flags&quot;</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;  <span class="comment">// 2. fftw_complex is compatible with std::complex</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;  <span class="comment">//    This assumes std::complex&lt;T&gt; layout is array of size 2 with real,imag</span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;  T * fftw_cast(<span class="keyword">const</span> T* p)</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;  { </div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">const_cast&lt;</span>T*<span class="keyword">&gt;</span>( p); </div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;  }</div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160; </div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;  fftw_complex * fftw_cast( <span class="keyword">const</span> std::complex&lt;double&gt; * p)</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;  {</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">const_cast&lt;</span>fftw_complex*<span class="keyword">&gt;</span>( <span class="keyword">reinterpret_cast&lt;</span><span class="keyword">const </span>fftw_complex*<span class="keyword">&gt;</span>(p) ); </div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;  }</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160; </div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;  fftwf_complex * fftw_cast( <span class="keyword">const</span> std::complex&lt;float&gt; * p)</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;  { </div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">const_cast&lt;</span>fftwf_complex*<span class="keyword">&gt;</span>( <span class="keyword">reinterpret_cast&lt;</span><span class="keyword">const </span>fftwf_complex*<span class="keyword">&gt;</span>(p) ); </div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  }</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160; </div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;  <span class="keyword">inline</span> </div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;  fftwl_complex * fftw_cast( <span class="keyword">const</span> std::complex&lt;long double&gt; * p)</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;  { </div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;      <span class="keywordflow">return</span> <span class="keyword">const_cast&lt;</span>fftwl_complex*<span class="keyword">&gt;</span>( <span class="keyword">reinterpret_cast&lt;</span><span class="keyword">const </span>fftwl_complex*<span class="keyword">&gt;</span>(p) ); </div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;  }</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160; </div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; </div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;  <span class="keyword">struct </span>fftw_plan {};</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160; </div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  <span class="keyword">template</span> &lt;&gt; </div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;  <span class="keyword">struct </span>fftw_plan&lt;float&gt;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;  {</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;      <span class="keyword">typedef</span> <span class="keywordtype">float</span> scalar_type;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;      <span class="keyword">typedef</span> fftwf_complex complex_type;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      fftwf_plan m_plan;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      fftw_plan() :m_plan(NULL) {}</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      ~fftw_plan() {<span class="keywordflow">if</span> (m_plan) fftwf_destroy_plan(m_plan);}</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160; </div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      <span class="keywordtype">void</span> fwd(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwf_plan_dft_1d(nfft,src,dst, FFTW_FORWARD, FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;          fftwf_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      }</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordtype">void</span> inv(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwf_plan_dft_1d(nfft,src,dst, FFTW_BACKWARD , FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;          fftwf_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;      }</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      <span class="keywordtype">void</span> fwd(complex_type * dst,scalar_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwf_plan_dft_r2c_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;          fftwf_execute_dft_r2c( m_plan,src,dst);</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      }</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keywordtype">void</span> inv(scalar_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL)</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;              m_plan = fftwf_plan_dft_c2r_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;          fftwf_execute_dft_c2r( m_plan, src,dst);</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      }</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160; </div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keyword">inline</span> </div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordtype">void</span> fwd2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwf_plan_dft_2d(n0,n1,src,dst,FFTW_FORWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;          fftwf_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      }</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      <span class="keyword">inline</span> </div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordtype">void</span> inv2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwf_plan_dft_2d(n0,n1,src,dst,FFTW_BACKWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;          fftwf_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      }</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160; </div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;  };</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;  <span class="keyword">template</span> &lt;&gt; </div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;  <span class="keyword">struct </span>fftw_plan&lt;double&gt;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;  {</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keyword">typedef</span> <span class="keywordtype">double</span> scalar_type;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;      <span class="keyword">typedef</span> fftw_complex complex_type;</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;      ::fftw_plan m_plan;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;      fftw_plan() :m_plan(NULL) {}</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      ~fftw_plan() {<span class="keywordflow">if</span> (m_plan) fftw_destroy_plan(m_plan);}</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160; </div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;      <span class="keywordtype">void</span> fwd(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftw_plan_dft_1d(nfft,src,dst, FFTW_FORWARD, FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;          fftw_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      }</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;      <span class="keywordtype">void</span> inv(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftw_plan_dft_1d(nfft,src,dst, FFTW_BACKWARD , FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          fftw_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      }</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;      <span class="keywordtype">void</span> fwd(complex_type * dst,scalar_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftw_plan_dft_r2c_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          fftw_execute_dft_r2c( m_plan,src,dst);</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      }</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keywordtype">void</span> inv(scalar_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL)</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;              m_plan = fftw_plan_dft_c2r_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;          fftw_execute_dft_c2r( m_plan, src,dst);</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;      }</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      <span class="keyword">inline</span> </div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordtype">void</span> fwd2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftw_plan_dft_2d(n0,n1,src,dst,FFTW_FORWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          fftw_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;      }</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <span class="keyword">inline</span> </div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="keywordtype">void</span> inv2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftw_plan_dft_2d(n0,n1,src,dst,FFTW_BACKWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;          fftw_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;      }</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;  };</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;  <span class="keyword">template</span> &lt;&gt; </div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;  <span class="keyword">struct </span>fftw_plan&lt;long double&gt;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  {</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;      <span class="keyword">typedef</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span> scalar_type;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;      <span class="keyword">typedef</span> fftwl_complex complex_type;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      fftwl_plan m_plan;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      fftw_plan() :m_plan(NULL) {}</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      ~fftw_plan() {<span class="keywordflow">if</span> (m_plan) fftwl_destroy_plan(m_plan);}</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160; </div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;      <span class="keywordtype">void</span> fwd(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwl_plan_dft_1d(nfft,src,dst, FFTW_FORWARD, FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;          fftwl_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;      }</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;      <span class="keywordtype">void</span> inv(complex_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwl_plan_dft_1d(nfft,src,dst, FFTW_BACKWARD , FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;          fftwl_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;      }</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;      <span class="keywordtype">void</span> fwd(complex_type * dst,scalar_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwl_plan_dft_r2c_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;          fftwl_execute_dft_r2c( m_plan,src,dst);</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;      }</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;      <span class="keywordtype">void</span> inv(scalar_type * dst,complex_type * src,<span class="keywordtype">int</span> nfft) {</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL)</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;              m_plan = fftwl_plan_dft_c2r_1d(nfft,src,dst,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;          fftwl_execute_dft_c2r( m_plan, src,dst);</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;      }</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;      <span class="keyword">inline</span> </div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;      <span class="keywordtype">void</span> fwd2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwl_plan_dft_2d(n0,n1,src,dst,FFTW_FORWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;          fftwl_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;      }</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;      <span class="keyword">inline</span> </div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;      <span class="keywordtype">void</span> inv2( complex_type * dst,complex_type * src,<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1) {</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;          <span class="keywordflow">if</span> (m_plan==NULL) m_plan = fftwl_plan_dft_2d(n0,n1,src,dst,FFTW_BACKWARD,FFTW_ESTIMATE|FFTW_PRESERVE_INPUT);</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;          fftwl_execute_dft( m_plan, src,dst);</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;      }</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  };</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160; </div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">typename</span> Scalar_&gt;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;  <span class="keyword">struct </span>fftw_impl</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;  {</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;      <span class="keyword">typedef</span> Scalar_ Scalar;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;      <span class="keyword">typedef</span> std::complex&lt;Scalar&gt; Complex;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160; </div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;      <span class="keywordtype">void</span> clear() </div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;      {</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;        m_plans.clear();</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;      }</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160; </div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;      <span class="comment">// complex-to-complex forward FFT</span></div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;      <span class="keywordtype">void</span> fwd( Complex * dst,<span class="keyword">const</span> Complex *src,<span class="keywordtype">int</span> nfft)</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;      {</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;        get_plan(nfft,<span class="keyword">false</span>,dst,src).fwd(fftw_cast(dst), fftw_cast(src),nfft );</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;      }</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160; </div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;      <span class="comment">// real-to-complex forward FFT</span></div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;      <span class="keywordtype">void</span> fwd( Complex * dst,<span class="keyword">const</span> Scalar * src,<span class="keywordtype">int</span> nfft) </div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;      {</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;          get_plan(nfft,<span class="keyword">false</span>,dst,src).fwd(fftw_cast(dst), fftw_cast(src) ,nfft);</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;      }</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160; </div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;      <span class="comment">// 2-d complex-to-complex</span></div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;      <span class="keywordtype">void</span> fwd2(Complex * dst, <span class="keyword">const</span> Complex * src, <span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1)</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;      {</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;          get_plan(n0,n1,<span class="keyword">false</span>,dst,src).fwd2(fftw_cast(dst), fftw_cast(src) ,n0,n1);</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;      }</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160; </div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;      <span class="comment">// inverse complex-to-complex</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;      <span class="keywordtype">void</span> inv(Complex * dst,<span class="keyword">const</span> Complex  *src,<span class="keywordtype">int</span> nfft)</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;      {</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;        get_plan(nfft,<span class="keyword">true</span>,dst,src).inv(fftw_cast(dst), fftw_cast(src),nfft );</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;      }</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160; </div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;      <span class="comment">// half-complex to scalar</span></div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;      <span class="keywordtype">void</span> inv( Scalar * dst,<span class="keyword">const</span> Complex * src,<span class="keywordtype">int</span> nfft) </div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;      {</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;        get_plan(nfft,<span class="keyword">true</span>,dst,src).inv(fftw_cast(dst), fftw_cast(src),nfft );</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;      }</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160; </div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;      <span class="comment">// 2-d complex-to-complex</span></div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;      <span class="keywordtype">void</span> inv2(Complex * dst, <span class="keyword">const</span> Complex * src, <span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1)</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;      {</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;        get_plan(n0,n1,<span class="keyword">true</span>,dst,src).inv2(fftw_cast(dst), fftw_cast(src) ,n0,n1);</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;      }</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160; </div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160; </div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;      <span class="keyword">typedef</span> fftw_plan&lt;Scalar&gt; PlanData;</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160; </div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;      <span class="keyword">typedef</span> Eigen::numext::int64_t int64_t;</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160; </div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;      <span class="keyword">typedef</span> std::map&lt;int64_t,PlanData&gt; PlanMap;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160; </div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;      PlanMap m_plans;</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160; </div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;      PlanData &amp; get_plan(<span class="keywordtype">int</span> nfft,<span class="keywordtype">bool</span> <a class="codeRef" href="../namespaceEigen.html#ae9de9064c3b832ee804c0e0957e80334">inverse</a>,<span class="keywordtype">void</span> * dst,<span class="keyword">const</span> <span class="keywordtype">void</span> * src)</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;      {</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;          <span class="keywordtype">bool</span> inplace = (dst==src);</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;          <span class="keywordtype">bool</span> aligned = ( (<span class="keyword">reinterpret_cast&lt;</span><span class="keywordtype">size_t</span><span class="keyword">&gt;</span>(src)&amp;15) | (<span class="keyword">reinterpret_cast&lt;</span><span class="keywordtype">size_t</span><span class="keyword">&gt;</span>(dst)&amp;15) ) == 0;</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;          int64_t key = ( (nfft&lt;&lt;3 ) | (<a class="codeRef" href="../namespaceEigen.html#ae9de9064c3b832ee804c0e0957e80334">inverse</a>&lt;&lt;2) | (inplace&lt;&lt;1) | aligned ) &lt;&lt; 1;</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;          <span class="keywordflow">return</span> m_plans[key];</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;      }</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160; </div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;      <span class="keyword">inline</span></div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;      PlanData &amp; get_plan(<span class="keywordtype">int</span> n0,<span class="keywordtype">int</span> n1,<span class="keywordtype">bool</span> <a class="codeRef" href="../namespaceEigen.html#ae9de9064c3b832ee804c0e0957e80334">inverse</a>,<span class="keywordtype">void</span> * dst,<span class="keyword">const</span> <span class="keywordtype">void</span> * src)</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;      {</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;          <span class="keywordtype">bool</span> inplace = (dst==src);</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;          <span class="keywordtype">bool</span> aligned = ( (<span class="keyword">reinterpret_cast&lt;</span><span class="keywordtype">size_t</span><span class="keyword">&gt;</span>(src)&amp;15) | (<span class="keyword">reinterpret_cast&lt;</span><span class="keywordtype">size_t</span><span class="keyword">&gt;</span>(dst)&amp;15) ) == 0;</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;          int64_t key = ( ( (((int64_t)n0) &lt;&lt; 30)|(n1&lt;&lt;3 ) | (<a class="codeRef" href="../namespaceEigen.html#ae9de9064c3b832ee804c0e0957e80334">inverse</a>&lt;&lt;2) | (inplace&lt;&lt;1) | aligned ) &lt;&lt; 1 ) + 1;</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;          <span class="keywordflow">return</span> m_plans[key];</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;      }</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;  };</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160; </div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;} <span class="comment">// end namespace internal</span></div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160; </div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;} <span class="comment">// end namespace Eigen</span></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div></div>
<div class="ttc" id="anamespaceEigen_html_ae9de9064c3b832ee804c0e0957e80334"><div class="ttname"><a href="../namespaceEigen.html#ae9de9064c3b832ee804c0e0957e80334">Eigen::inverse</a></div><div class="ttdeci">const Eigen::CwiseUnaryOp&lt; Eigen::internal::scalar_inverse_op&lt; typename Derived::Scalar &gt;, const Derived &gt; inverse(const Eigen::ArrayBase&lt; Derived &gt; &amp;x)</div></div>
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